A Treatise on the Dynamics of a Particle |
多く使われている語句
acceleration angle angular velocity apse axes axis center of force center of inertia central force central orbit chord circle co-ordinates coefficient of restitution constant cos² curvature cycloid d²x described determine the motion direction of motion direction of projection ds ds ds dt dt ds dt dt dt dt dx dx dt ellipse equal equations of motion evidently fixed point focus force varying given point given velocity Hence hodograph hyperbola initial instant integral inversely latus rectum law of force lowest point mass orbit oscillation osculating plane parabola parallel particle is projected particle moves path pendulum perihelion perpendicular point of projection position radius vector resistance resolved resultant shew sin² St John's College straight line string suppose surface tangent true anomaly vertex μα
人気のある引用
ii ページ - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
40 ページ - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
40 ページ - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
86 ページ - ... g sin 0 parallel to the line of greatest slope on the plane, and therefore the trajectory will still be a parabola, whose dimensions will depend upon 0. Ex. A particle is projected from a given point with a given velocity, and moves on an inclined plane/ find the locus of the directrices of its path for different inclinations of the plane. It will be easily seen that when a particle moves on an inclined plane, the velocity at any point is equal to that which would have been acquired by sliding...
44 ページ - To every action there is always an equal and contrary reaction ; or the mutual actions of any two bodies are always equal and oppositely directed.
ii ページ - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St.
14 ページ - Hence the moment of the resultant is equal to the sum of the moments of the two components.
70 ページ - The straight line down which a particle will slide in the shortest time from a given point to a given circle in the same vertical plane, is the line joining the point to the upper or lower extremity of the vertical diameter, according as the point is within or without the circle.
302 ページ - B, 0, &c. for which e is given, are placed in a line ; A is projected with given velocity so as to impinge on B, B then impinges on C, and so on ; find the masses of the balls B, C, &c. in order that each of the balls A, B, C, &c.
44 ページ - From this it follows that the sum of the quantities of motion, parallel to any fixed direction, of the particles of any system influencing one another in any possible way, remains unchanged by their mutual action ; also that the sum of the moments of momentum of all the particles...